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Finding the Fourth Proportional to 535.23, 738.63 and 325.40

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Solution

The fourth proportional to 535.23, 738.63 and 325.40 is: 449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 738.63 = 325.40 : x
  2. Step 2: Convert to fraction form
    535.23/738.63 = 325.40/x
  3. Step 3: Cross multiply
    535.23x = 738.63 × 325.40
  4. Step 4: Simplify right side
    535.23x = 240,346.51
  5. Step 5: Solve for x
    x = 240,346.51/535.23
  6. Step 6: Final answer
    x = 449.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.